Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032n |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-517402335792 = -1 · 24 · 3 · 476 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1473,27408] |
[a1,a2,a3,a4,a6] |
Generators |
[-8731148275288149547408:-19518982160130203610720:564997455677906493913] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
11.232054385613 |
L(r)(E,1)/r! |
Ω |
0.62912027317522 |
Real period |
R |
35.707176676878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53016l1 48a4 |
Quadratic twists by: -4 -47 |